question (1 Viewer)

yellowhighlighterr

Active Member
Joined
Jun 5, 2023
Messages
105
Location
in rishi sunak's basement
Gender
Female
HSC
2024
ik that the last digit must be 0 or 5, leaving us with the ss now being 8 values.
so p(div by 5) = 8*7*6*1 (if its 0) and the same for 5 (=336+
they both give 336, so wouldn't you just multiply 336 by 2 together to get the answer????
 

yanujw

Well-Known Member
Joined
May 23, 2020
Messages
343
Location
57 Mount Pleasant St.
Gender
Male
HSC
2022
heres a weird one
part d
any help pls?
There are two approaches. First you could think that either N is to the left of U or it isn't, and there is no condition that makes one possibility more likely so there are half as many ways as if there were no restrictions. Thus 6!/2 = 360 ways

Or, visualise just N and U already being there next to each other, and that the other letters are to be placed around them so that N always remains before U. There are 3 positions for the first letter placed, 4 for the next, then 5 and then 6 positions for the final letter placed. Apply the multiplication principle for a total of 360 ways.

just take (NU) as one letter and dont do 2! inside bc thats the only arrangement
then just normal arrangement
This approach is not quite correct, this places N and U next to each other rather than the premise of the question.
 

yellowhighlighterr

Active Member
Joined
Jun 5, 2023
Messages
105
Location
in rishi sunak's basement
Gender
Female
HSC
2024
There are two approaches. First you could think that either N is to the left of U or it isn't, and there is no condition that makes one possibility more likely so there are half as many ways as if there were no restrictions. Thus 6!/2 = 360 ways

Or, visualise just N and U already being there next to each other, and that the other letters are to be placed around them so that N always remains before U. There are 3 positions for the first letter placed, 4 for the next, then 5 and then 6 positions for the final letter placed. Apply the multiplication principle for a total of 360 ways.


This approach is not quite correct, this places N and U next to each other rather than the premise of the question.
could u elaborate further pls?
 

synthesisFR

しゃけ
Joined
Oct 28, 2022
Messages
4,313
Location
Getting deported
Gender
Male
HSC
2023
There are two approaches. First you could think that either N is to the left of U or it isn't, and there is no condition that makes one possibility more likely so there are half as many ways as if there were no restrictions. Thus 6!/2 = 360 ways

Or, visualise just N and U already being there next to each other, and that the other letters are to be placed around them so that N always remains before U. There are 3 positions for the first letter placed, 4 for the next, then 5 and then 6 positions for the final letter placed. Apply the multiplication principle for a total of 360 ways.


This approach is not quite correct, this places N and U next to each other rather than the premise of the question.
OHHHHH that makes sense
yep ignore what i said i was thinking like N and U have to be like right next to each other

this proves my point that i need to relearn this topic before trials 😭
 
Last edited:

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top